I. Foundations
Scalars, vectors, matrices, linear equations, Gaussian elimination, determinants, and matrix factorizations — the bedrock of linear algebra.
| Chapter | Title |
|---|---|
| 1 | What Linear Algebra Is |
| 2 | Scalars, Vectors, and Fields |
| 3 | Geometry of Euclidean Space |
| 4 | Linear Equations |
| 5 | Systems of Linear Equations |
| 6 | Matrices |
| 7 | Matrix Operations |
| 8 | Elementary Row Operations |
| 9 | Gaussian Elimination |
| 10 | Gauss-Jordan Elimination |
| 11 | Invertible Matrices |
| 12 | Rank and Nullity |
| 13 | Determinants |
| 14 | Cofactors and Adjugates |
| 15 | Block Matrices |
| 16 | Matrix Factorizations Overview |